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Colbois, Bruno
Nom
Colbois, Bruno
Affiliation principale
Fonction
Professeur ordinaire
Email
Bruno.Colbois@unine.ch
Identifiants
Résultat de la recherche
Voici les éléments 1 - 7 sur 7
- PublicationMétadonnées seulementHilbert domains that admit a quasi-isometric embedding into Euclidean space(2011-12-21)
; Verovic, Patrick - PublicationMétadonnées seulementHilbert geometry for convex polygonal domains(2011-1-21)
; - PublicationMétadonnées seulementSome smooth Finsler deformations of hyperbolic surfaces(2009)
; - PublicationMétadonnées seulementArea of ideal triangles and Gromov hyperbolicity in Hilbert Geometry(2008)
; - PublicationMétadonnées seulementL'aire des triangles idéaux en géométrie de Hilbert(2004-12-20)
; - PublicationMétadonnées seulementHilbert geometry for strictly convex domains(2004)
; Verovic, PatrickWe prove in this paper that the Hilbert geometry associated with a bounded open convex domain C in R-n whose boundary partial derivativeC is a C-2 hypersuface with nonvanishing Gaussian curvature is bi-Lipschitz equivalent to the n-dimensional hyperbolic space H-n. Moreover, we show that the balls in such a Hilbert geometry have the same volume growth entropy as those in H-n. - PublicationMétadonnées seulementRigidity of Hilbert metrics(2002)
; Verovic, PatrickWe study the groups of isometries for Hilbert metrics on bounded open convex domains in R-n and show that if C is such a set with a strictly convex boundary, the Hilbert geometry is asymptotically Riemannian at infinity. As a consequence of this result, we prove there are no Hausdorff quotients of C by isometry subgroups with finite volume except when partial derivativeC is an ellipsoid.